Fig. 12.3 depicts an archery target marked with its five scoring regions from the center outwards as Gold, Red, Blue, Black and White.

Radius of (GOLD region) first circle (r₁) = 21/2 = 10.5 cm
Radius of second circle (r₂) = 10.5 + 10.5 = 21 cm
Radius of third circle (r₃) = 21 + 10.5 = 31.5 cm
Radius of fourth circle (r₄) = 31.5 + 10.5 = 42 cm
Radius of fifth circle (r₅) = 42 + 10.5 52.5 cm
Area of (GOLD region) first circle = πr₁² = π(10.5)² = π(110.25) = 346.50 cm²
Area of RED region = Area of second circle – Area of first circle
= πr₂² – πr₁²
= π(21)² – π(10.5)²
= 4417π – 110.257π
= 330.75π
= 1039.5 cm²
Area of BLUE region = Area of third circle – Area of second circle
= πr₃² – πr₂²
= π(31.5)² – π(21)²
= 992.257π – 441π
= 551.25π
= 1732.5 cm²
Area of BlACK region = Area of fourth circle- Area of third circle
= πr₄² – πr₃²
= π(42)² – π(31.5)²
= 17647π – 992.257π
= 771.75π
= 2425.5 cm²
Area of WHITE region = Area of fifth circle – Area of fourth circle
= πr₅² – πr₄²
= π(52.5)² – π(42)²
= 2756.25π – 1764π
= 992.25π
= 3118.5 cm²

Video explanation 👇😎